When an electron makes a transition from `(n + 1)` state to n state the frequency of emitted radiation is related to n according to `(n gtgt 1)`

Options

A. `v prop n^(-3)`
B. `v prop n^(2)`
C. ` v prop n^(3)`
D. `v prop n^((2)/(3))`

Answer

A

Explanation

`v = (c )/(lambda) = RcZ^(2) ((1)/(n^(2)) - (1)/((n + 1)^(2))) = RcZ^(2) ((1 + 2n)/(n^(2)(n +1)^(2)))`
`RcZ^(2)((2n))/(n^(2)) prop n^(-3)`